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arXiv · 0804.0397

Blow-ups and resolutions of strong Kähler with torsion metrics

Anna Fino·Adriano Tomassini
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Abstract

On a compact complex manifold we study the behaviour of strong Kähler with torsion (strong KT) structures under small deformations of the complex structure and the problem of extension of a strong KT metric. In this context we obtain the analogous result of Miyaoka extension theorem. Studying the blow-up of a strong KT manifold at a point or along a complex submanifold, we prove that a complex orbifold endowed with a strong KT metric admits a strong KT resolution. In this way we obtain new examples of compact simply-connected strong KT manifolds.

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Anna Fino, Adriano Tomassini. 2009-02-04. Blow-ups and resolutions of strong Kähler with torsion metrics. https://arxiv.org/abs/0804.0397

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